1. Let S = {1,2, 3, 4, 5, 6}. Find the following. a. Number of subsets of S of cardinality 5 and having {2, 3, 5} as a subset. b. Number of subsets of S of cardinality 5 containing at least one odd number.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.5: Permutations And Inverses
Problem 3E
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1. Let S = {1, 2, 3, 4, 5, 6}. Find the following.
a. Number of subsets of S of cardinality 5 and having {2, 3, 5} as a subset.
b. Number of subsets of S of cardinality 5 containing at least one odd number.
Transcribed Image Text:1. Let S = {1, 2, 3, 4, 5, 6}. Find the following. a. Number of subsets of S of cardinality 5 and having {2, 3, 5} as a subset. b. Number of subsets of S of cardinality 5 containing at least one odd number.
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